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Yes. Because Eulerian circuits are a subset of Eulerian trails, all Eulerian circuits must be traversable since, by definition, a Eulerian trail is traversable.
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Determine whether or not the network is traversable?
"The rule to find whether a network is traversable or not is by looking at points called nodes. Nodes are places where two or more lines meet. On these networks, the nodes are clearly shown by the black points in the diagrams. Now you are probably wondering what this has to do with the network being traversable or not. The node either would have an odd or even number of lines connected to it. Do not count the nodes with an even number of lines connected to it. Count the number of nodes with an odd number of lines connected to it. If there are no odd nodes or if there are two odd nodes, that means that the network it traversable. Networks with only two odd nodes are in a traversable path and networks with no odd nodes are in a traversable circuit."
What makes a shape traversable?
It is traversable if there is an even number of edges at each vertex, or at every vertex except two. In the latter case the traverse must start at one of the "odd vertices" and finish at the other.
How can you understand a given graph is Euler or not?
The definition of an Eulerian path is a path in a graph which visits each edge exactly once. Intuitively, think of tracing the path with a pencil without lifting the pencil's edge from the page. One definition of an Eulerian graph is that every vertex has an even degree. You can check this by counting the degrees. Please see the related link for details.
Cube route of 90?
Each one of a cube's vertices has a valency of 3. The graph of its edges is therefore non-Eulerian and so it is not possible to have a cube route.
What does traversable mean?
Traverse means "to cross". It's origin is the French word "traverser" which means "to cross".
Determine whether or not the network is traversable?
"The rule to find whether a network is traversable or not is by looking at points called nodes. Nodes are places where two or more lines meet. On these networks, the nodes are clearly shown by the black points in the diagrams. Now you are probably wondering what this has to do with the network being traversable or not. The node either would have an odd or even number of lines connected to it. Do not count the nodes with an even number of lines connected to it. Count the number of nodes with an odd number of lines connected to it. If there are no odd nodes or if there are two odd nodes, that means that the network it traversable. Networks with only two odd nodes are in a traversable path and networks with no odd nodes are in a traversable circuit."
What is the difference between a Hamiltonian circuit and a Euler circuit?
In an Euler circuit we go through the whole circuit without picking the pencil up. In doing so, the edges can never be repeated but vertices may repeat. In a Hamiltonian circuit the vertices and edges both can not repeat. So Avery Hamiltonain circuit is also Eulerian but it is not necessary that every euler is also Hamiltonian.
What makes a shape traversable?
It is traversable if there is an even number of edges at each vertex, or at every vertex except two. In the latter case the traverse must start at one of the "odd vertices" and finish at the other.
What are 2 antonyms for impassable?
passable, negotiable, traversable, clear, open, unobstructed, unblocked
What do you need to build a traversable wormhole?
A healthy imagination...unless you are only looking to traverse it with a photon.
What makes a network 'traversable'?
In order for a network to be transversable, it either needs to have all of the vertices even, or just 2 odd vertices
How can you understand a given graph is Euler or not?
The definition of an Eulerian path is a path in a graph which visits each edge exactly once. Intuitively, think of tracing the path with a pencil without lifting the pencil's edge from the page. One definition of an Eulerian graph is that every vertex has an even degree. You can check this by counting the degrees. Please see the related link for details.
Cube route of 90?
Each one of a cube's vertices has a valency of 3. The graph of its edges is therefore non-Eulerian and so it is not possible to have a cube route.
What does traversable mean?
Traverse means "to cross". It's origin is the French word "traverser" which means "to cross".
What does traversable mean in maths?
A network or shape is transversable if it can be traced without lifting the pen or going over the same part of the curve more than once.
Why is the circuit a circuit?
Because circuit is a circuit.
What is a circuit with no load?
An open circuit or a short-circuit (if that circuit is complete).
